The chiral anomaly is extended to mixed states via symmetry-charge flow derived algebraically from symmetry and flux-insertion operators, restoring universality for Abelian symmetries in fermionic and bosonic systems.
Publisher’s Note: Multivariate Moran Process with Lotka-Volterra Phenomenology [Phys. Rev. Lett.<b>107</b>, 228101 (2011)]
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Anomaly and symmetry-charge flow in mixed states
The chiral anomaly is extended to mixed states via symmetry-charge flow derived algebraically from symmetry and flux-insertion operators, restoring universality for Abelian symmetries in fermionic and bosonic systems.
- Translation symmetry-enforced long-range entanglement in mixed states